Q. No.A ray of light \(AO\) in vacuum is incident on a glass slab at angle \(60^\circ\) and refracted at angle \(30^\circ\) along \(OB\) as shown in the figure. The optical path length of light ray from \(A\) to \(B\) is:
| 1. | \( 2 a+2 b \) | 2. | \( \dfrac{2 \sqrt{3}}{a}+2 b \) |
| 3. | \( 2 a+\dfrac{2 b}{a} \) | 4. | \( 2 a+\dfrac{2 b}{\sqrt{3}}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA transparent cube of side, made of a material of refractive index \(\mu_2\), is immersed in a liquid of refractive index \(\mu_1(\mu_1<\mu_2)\) . A ray is incident on the face \(AB\) at an angle \(\theta\) (shown in the figure). Total internal reflection takes place at point \(E\) on the face \(BC\).
Then \(\theta\) must satisfy:
1. \(\theta>\sin^{-1}\sqrt{\frac{\mu_2^2}{\mu_1^2}-1} \)
2. \(\theta<\sin^{-1}\sqrt{\frac{\mu_2^2}{\mu_1^2}-1} \)
3. \(\theta<\sin^{-1}\frac{\mu_1}{\mu_2}\)
4. \(\theta>\sin^{-1}\frac{\mu_1}{\mu_2}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. 1.303
2. 1.318
3. 1.13
4. 0.12
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. \(\sin ^{-1}(\sqrt{n}) \)
2. \( \cos ^{-1}\left(\sqrt{\frac{n}{2}}\right) \)
3. \( \sin ^{-1}(\sqrt{2 n}) \)
4. \( 2 \cos ^{-1}\left(\sqrt{\frac{n}{2}}\right)\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. \(5\times10^{-10}v_A\) m
2. \(5\times10^{-10}\) m
3. \(1.5\times10^{-10}\) m
4. \(5\times10^{-10}v_B\) m
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. 1.732
2. 1.333
3. 1.414
4. 2.732
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. \(\lambda_{1}=\lambda_{2},v_{1}={{v_{2}}\over{\sqrt{2}}}\)
2,. \(\lambda_{1}=\lambda_{2},v_{2}=2v_{1}\)
3. \(\lambda_{1}=\sqrt{2}\lambda_{2},v_{1}=v_{2}\)
4. \(\lambda_{1}={{\lambda_{2}}\over{\sqrt{2}}},v_{1}=v_{2}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. \({3 \over \sqrt 2 } \times 10^8~ m/s\)
2. \(3 \sqrt 2 \times 10^8 ~m/s\)
3. \({3 \over 2} \times 10^8 ~m/s\)
4. \(3 \times 10^8~ m/s\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology
1. \(24\) m/s
2. \(16\) m/s
3. \(20\) m/s
4. \(12\) m/s
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology
1. \({5 \text H \over 8}\)
2. \({4 \text H \over 5}\)
3. \({3 \text H \over 4}\)
4. \({7 \text H \over 8}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology
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